| A | B |
|---|
| Addition Property of Equality (APOE) | A quantity is added to both sides of an equation. |
| Subtraction Property of Equality (SPOE) | A quantity is subtracted from both sides of an equation. |
| Multiplication Property of Equality (MPOE) | Multiply by a quantity on both sides of an equation. |
| Division Property of Equality (DPOE) | Divide by a quantity on both sides of an equation. |
| Reflexive Property | One Line: a = a |
| Symmetric Property | Two Lines: If a = b then b = a |
| Transitive Property | Three lines: If a = b and b = c then a = c |
| Definition of congruence | Two quantities are equal in length if and only if they are congruent. |
| Definition of complementary angles | Two angles add up to 90 degrees. |
| Definition of supplementary angles | Two angles add up to 180 degrees. |
| Definition of midpoint | A point that is the exact middle of a segment. |
| Definition of vertical angles | Two non-adjacent angles formed when two lines intersect. |
| Definition of right angle | An angle that measures 90 degrees. |
| Definition of bisector | A geometric figure that splits another figure into two equal (congruent) parts. |
| Segment Addition Postulate | Parts of a segment add up to the whole segment length. |
| Angle Addition Postulate | Parts of an angle add up to the whole angle measure. |
| Linear Pair Postulate (LPP) | If two angles form a linear pair, then they are supplementary. |
| Vertical Angle Theorem | If two angles are vertical, then they are congruent. |
| Right Angle Congruence Theorem | All right angles are congruent. |
| Congruent Complements Theorem | If ∠1 is complementary to ∠2 and ∠2 is complementary to ∠3, then ∠1 and ∠3 are congruent. |
| Congruent Supplements Theorem | If ∠1 is supplementary to ∠2 and ∠2 is supplementary to ∠3, then ∠1 and ∠3 are congruent. |
